Extinction window of mean field branching annihilating random walk
| Autor: | Arnab Sen, Ariel Yadin, Idan Perl |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
education.field_of_study 60J80 Logarithm Probability (math.PR) Population population models Complete graph Random walk 92D25 Branching annihilating random walk Exponential function branching process Mean field theory Population model FOS: Mathematics Quantitative Biology::Populations and Evolution Statistical physics Statistics Probability and Uncertainty education Mathematics - Probability Branching process Mathematics |
| Zdroj: | Ann. Appl. Probab. 25, no. 6 (2015), 3139-3161 |
| Popis: | We study a model of growing population that competes for resources. At each time step, all existing particles reproduce and the offspring randomly move to neighboring sites. Then at any site with more than one offspring, the particles are annihilated. This is a nonmonotone model, which makes the analysis more difficult. We consider the extinction window of this model in the finite mean-field case, where there are $n$ sites but movement is allowed to any site (the complete graph). We show that although the system survives for exponential time, the extinction window is logarithmic. Published at http://dx.doi.org/10.1214/14-AAP1069 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) |
| Databáze: | OpenAIRE |
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